Suppose you are playing a game. The random variable, Y, represents your net profit in dollars. The probability distribution of Y is as follows. (Round your answers to 4 decimal places, if needed.) -3 -2 2 3 5 P(Y = y) 0.2 0.21 ? 0.14 0.2 (a) What is the mean for net profit? (b) What is the median for net profit? (c) What is the standard deviation for net profit?A survey was conducted from a large group of high school students in an effort to determine what science courses they were currently enrolled in. It was found that 64% of the students were enrolled in Chemistry, 62% of students were enrolled in Physics, and 57% of students were enrolled in Biology. Assume independence between the science classes that each student is enrolled in. (Round your answers to 3 decimal places, if needed.) (a) What is the probability that a randomly selected student is enrolled in Chemistry and Physics, but not Biology? (b) What is the probability that a randomly selected student is enrolled in Physics but not Chemistry? (c) What is the probability that a randomly selected student is enrolled in Chemistry or Biology